The general life cycle for a mosquito consists of 4 life stages: eggs (E), larva

Question

The general life cycle for a mosquito consists of 4 life stages: eggs (E), larvae (L), pupae (P), and adults(A). Adult females will lay, on average, eggs / female.

These eggs have a probability of surviving (e) to the larval stage (L). Once in the larval stage, larvae survive with a weekly survival probability of L. The surviving larvae transition to the pupal stage with a probability (x) or they stay in the larval stage with a probability (1-x). Once in the pupal stage, pupae survive with a probability of P and transition to the adult stage.

Knowing the above information, and that mosquitoes have a sex ratio , fill in the diagram above with the appropriate transitions. Assuming it takes a week for mosquitoes to transition from each life stage to the next, what would be the equations for how densities change within each life stage if we project out a time step (i.e.,1 week)

4.At+1= ?

Explanation / Answer

ler A0 be the amount of musquitos at start

let the density of female musquito me F and male musquito be M

M0 = A0* /(1+ )

F0= A0/

E0 = pF0

L1 = E0(e) = pF0 = (pA0/ ) (e)

L2 = (pA0/ )(L)(e)(1-x)

P2 = L1(L)x =(pA0/ )(e)(L)(x)

A3 = P2(P) = (pA0/ )(e)(L)(x)(P)

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.